BEHROUZ MEHRI/AFP/Getty Images(NEW YORK) -- Even as the 68th Session of the United Nations General Assembly begins Tuesday, all eyes will be on the Manhattan headquarters next week.

The Guardian is reporting a possible meeting could be in the works between President Obama and Iranian President Hassan Rouhani.

Should the two actually talk, it would mark the first face-to-face encounter between a U.S. and Iranian leader since Iran's 1979 Islamic revolution, which led to an end of diplomatic ties between Washington and Tehran.

Sources told the British newspaper that the meeting reflects the Iranian government's eagerness to make headway on the nuclear issue, a long-standing dilemma for both Iran and the West.

While U.S. officials appear hesitant about any possible meeting that Rouhani might only use as a photo-op, some say the recent Geneva pact crafted by the U.S. and Russia on Syria’s chemical weapons has opened up opportunities for global diplomacy.

In an ABC News interview earlier this week, Obama told This Week host George Stephanopoulos that he remains hopeful the two can “strike a deal” over Tehran’s contested nuclear program.